快速收敛的非线性SISO系统变结构控制设计

Fast Convertgent Sliding Mode Control of SISO Nonlinear Systems

讨论了SISO非线性系统的两种滑模变结构控制设计。分别从线性滑模的趋近率及非线性滑模设计提出了新的方法及相应控制方案。文中设计的线性滑模趋近率,其趋近速度及滑动状态随系统状态变化而变化;非线性滑模从系统收敛速度及动静态性能综合考虑进行了设计。研究结果表明,相比于终端滑模,系统具有显著的快速性,并具有良好的动静态性能。最后通过三个仿真实例验证了该方案的有效性。

Two kinds of control methods based on the sliding mode variable structure are proposed for higer order SISO nonlinear dynamic systems. The controller is designed by the reaching law and nonlinear sliding mode along with the corresponding control strategy. The reaching speed and sliding dynamic of the linear sliding mode is changing with the system states. And the design of nonlinear sliding mode is comprehensively considerated from the tyro respects of convertgent speed and static-dynamic performance. The results show that the system has distinct speedability and favourable static and dynamic properties. Three simulation examples are presented to validate the proposed scheme